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Finding the Fourth Proportional to 534.12, 738.34 and 380.20

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Solution

The fourth proportional to 534.12, 738.34 and 380.20 is: 525.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.12 : 738.34 = 380.20 : x
  2. Step 2: Convert to fraction form
    534.12/738.34 = 380.20/x
  3. Step 3: Cross multiply
    534.12x = 738.34 × 380.20
  4. Step 4: Simplify right side
    534.12x = 280,716.87
  5. Step 5: Solve for x
    x = 280,716.87/534.12
  6. Step 6: Final answer
    x = 525.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.